Need help for question about spring oscillation

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The discussion centers on understanding why the answer to a spring oscillation problem is C instead of B. The key equation involved is F = kx, which describes the force exerted by the spring. It is noted that the net force on the block includes contributions from both compression and extension of the springs, as well as friction opposing motion. The presence of significant friction leads to energy dissipation, preventing sustained oscillations. Therefore, the inability to maintain a cycle of oscillation is the primary reason for the correct answer being C.
JJ1122
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Homework Statement


I want to know why the answer is C not B. Thanks.

Homework Equations


F=kx

The Attempt at a Solution

 

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JJ1122 said:
. Homework Statement
I want to know why the answer is C not B. Thanks.

Homework Equations


F=kx

1. the force will be -kx , as spring opposes the displacement
draw the force diagram on the block and see what is the net force on the block-ask yourself can it support oscillations of the block or not ?
 
JJ1122 said:
@drvrm Thanks.

but you should give complete argument;
1. initially a displacement say y in the vertical direction will lead to two forces- compression of upper spring will give -ky down ward and extension of lower one will give -ky down ward, as there is significant friction F(friction) will oppose the motion of the mass -pointing up if movement is downward-
after reaching the rest position the energy of the mass will move further down and spring forces will point up but the friction will oppose the motion . so a cycle of oscillation can not be sustained mainly due to energy dissipation .
 

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